Abstract
A few 2 + 1-dimensional equations belonging to the KP and modi- fied KP hierarchies are shown to be sufficient to provide a unified picture of all the integrable cases of the cubic and quartic Hénon–Heiles Hamiltonians.
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Verhoeven, C., Musette, M., Conte, R. (2006). ON REDUCTIONS OF SOME KdV-TYPE SYSTEMS AND THEIR LINK TO THE QUARTIC HÉNON-HEILES HAMILTONIAN. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_30
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